Theorems · Theorem · group theory
add_sub_right_comm
∀ {α : Type u_1} [inst : SubtractionCommMonoid α] (a b c : α), a + b - c = a - c + b- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- SubtractionCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_commproof · cited by 1,535
- sub_eq_add_negproof · cited by 1,023
- add_assocproof · cited by 746
- SubtractionCommMonoidstatement and proof · cited by 79
- add_left_commproof · cited by 76
Cited by10
Results whose statement or proof uses this declaration.
- Asymptotics.IsEquivalent.add_isLittleOproof · cited by 7
- Complex.norm_sub_mem_Icc_angleproof · cited by 2
- ConvexOn.lipschitzOnWith_of_abs_leproof · cited by 2
- SzemerediRegularity.energy_incrementproof · cited by 1
- IsMIntegralCurveAt.comp_addproof · cited by 1
- SzemerediRegularity.le_sum_distinctPairs_edgeDensity_sqproof · cited by 1
- Set.vadd_graphOnproof · cited by 1
- HurwitzZeta.differentiableAt_hurwitzZeta_sub_one_divproof · cited by 1
- HurwitzZeta.tendsto_hurwitzZeta_sub_one_div_nhds_oneproof · cited by 0